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HJRW
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AMath91
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Let $X$ be a non-discrete Euclidean building. Let $x \in X$, $\Delta_x$ be the germ of a Weyl-chamber based at $x$ and $\xi$ be a point at infinity. Choose $y \in \Delta_x$. 

Is there an apartment containing $x$, $y$ and $\xi$?

Addendum: is there an apartment containing $x$, $\Delta_x$ and $\xi$?

Let $X$ be a non-discrete Euclidean building. Let $x \in X$, $\Delta_x$ be the germ of a Weyl-chamber based at $x$ and $\xi$ be a point at infinity. Choose $y \in \Delta_x$. Is there an apartment containing $x$, $y$ and $\xi$?

Let $X$ be a non-discrete Euclidean building. Let $x \in X$, $\Delta_x$ be the germ of a Weyl-chamber based at $x$ and $\xi$ be a point at infinity. Choose $y \in \Delta_x$. 

Is there an apartment containing $x$, $y$ and $\xi$?

Addendum: is there an apartment containing $x$, $\Delta_x$ and $\xi$?

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AMath91
AMath91
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Apartment in non-discrete Euclidean building with prescribed properties

Let $X$ be a non-discrete Euclidean building. Let $x \in X$, $\Delta_x$ be the germ of a Weyl-chamber based at $x$ and $\xi$ be a point at infinity. Choose $y \in \Delta_x$. Is there an apartment containing $x$, $y$ and $\xi$?